A survey of uncertainty principles and some signal processing applications |
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Authors: | Benjamin Ricaud Bruno Torrésani |
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Affiliation: | 1. Signal Processing Laboratory 2, Ecole Polytechnique Fédérale de Lausanne (EPFL), Station 11, 1015, Lausanne, Switzerland 2. Aix-Marseille Université, CNRS, Centrale Marseille, LATP, UMR7353, 13453, Marseille, France
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Abstract: | The goal of this paper is to review the main trends in the domain of uncertainty principles and localization, highlight their mutual connections and investigate practical consequences. The discussion is strongly oriented towards, and motivated by signal processing problems, from which significant advances have been made recently. Relations with sparse approximation and coding problems are emphasized. |
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